Introduction to the course (abstract): This course provides a comprehensive introduction to the modeling, analysis, and control of social networks. It covers foundational concepts in graph theory and matrix analysis, key measures from social network analysis, and the dynamics of networked systems. Students will explore applications to social dynamics and models of opinion dynamics, as well as strategies for influencing and controlling social networks. Finally, the course concludes by introducing game-theoretic perspectives and exploring learning over networks.
Course contents:
- Introduction, motivation, applications, and preliminaries (graph theory, signed graphs theory, and matrix analysis);
- Social network analysis: Measures of centrality, connectivity, and structural properties of networks;
- Network dynamics and stability;
- Applications to social dynamics and models of opinion dynamics: analysis and simulation
- Control and interventions in social networks;
- Games and Learning over social networks.
